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ZENODO
Dataset . 2025
License: CC BY
Data sources: Datacite
ZENODO
Dataset . 2025
License: CC BY
Data sources: Datacite
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From Eddington Saturation to Black Hole Horizons – A Unified Geometric Framework

Authors: Bashan, Nadav;

From Eddington Saturation to Black Hole Horizons – A Unified Geometric Framework

Abstract

This work traces a continuous geometric pathway from the Eddington limit to the black hole horizon. By starting with the radiative–gravitational balance at a stellar photosphere and expressing it through the unified syntax of flux, acceleration, and area, we show that Eddington saturation is not merely a luminosity bound but a geometric growth law for the stellar radius. The same formal closure, when driven to the compactness limit, naturally reproduces the entropy–area scaling of horizon thermodynamics. This creates a conceptual bridge: from the expansion of an Eddington-limited star, governed by a purely geometric clock, to the static boundary of a black hole, where the surface becomes a causal horizon. In both regimes, radiation and gravity are facets of the same underlying geometry, directly measurable from surface observables.

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    citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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Found an issue? Give us feedback
citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average